4477248 has 56 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1491840.

The previous prime is 4477199. The next prime is 4477261. The reversal of 4477248 is 8427744.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁵ + 4⁷ + 7⁵ + 7⁶ + 2¹⁷ + 4¹¹ + 8 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433 + ... + 3023.

Almost surely, 2^4477248 is an apocalyptic number.

4477248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4477248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4477248 is an abundant number, since it is smaller than the sum of its proper divisors (8690112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4477248 is a wasteful number, since it uses less digits than its factorization.

4477248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2596 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4477248 is about 2115.9508500908. The cubic root of 4477248 is about 164.8176497891.

The spelling of 4477248 in words is "four million, four hundred seventy-seven thousand, two hundred forty-eight".